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Finding the Fourth Proportional to 3,628.13, 5,007.02 and 2,056.73

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Solution

The fourth proportional to 3,628.13, 5,007.02 and 2,056.73 is: 2,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.13 : 5,007.02 = 2,056.73 : x
  2. Step 2: Convert to fraction form
    3,628.13/5,007.02 = 2,056.73/x
  3. Step 3: Cross multiply
    3,628.13x = 5,007.02 × 2,056.73
  4. Step 4: Simplify right side
    3,628.13x = 10,298,052.93
  5. Step 5: Solve for x
    x = 10,298,052.93/3,628.13
  6. Step 6: Final answer
    x = 2,838.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.